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Math 3341-05 - Differential Equations

Notes for Spring 2017

Intro to Differential Equations

1.1.pdf

Initial - Value Problem (IVP)

1.2.pdf

Direction Field and Autonomous DEs

2.1.pdf

Separable Variables

2.2.pdf

Linear Equations

2.3.pdf

Exact Equations

2.4.pdf

Substitutions

2.5.pdf

A Numerical Method

2.6.pdf

Linear Models

3.1.pdf

Nonlinear Models

3.2.pdf

Linear DE

4.1.pdf

Homogeneous Linear Equations with Constant Coefficients

4.3.pdf

Method of Undetermined Coefficients

4.4.pdf

Variation of Parameters: Finding a Particular Solution

4.6.pdf

Linear Models of 2nd-order Differential Equations

5.1.pdf

Free damped motion

5.1.2.pdf

Forced Mechanical Motion

5.1.3.pdf

Electrical Circuits

5.1.4.pdf

The Laplace Transform

7.1.pdf

The Inverse Laplace Transform

7.2.pdf

Transform of a Derivative

7.2.2.pdf

Solving Differential Equations

7.2.3.pdf

Operational Properties of Laplace Transform

7.3.pdf

Laplace Inverse by Operational Properties

7.3.1.pdf

Transforms of Discontinuous Functions

7.3.2.pdf

Operational Properties of Laplace Transform II

7.4.pdf